Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity
Abstract
This paper is concerned with existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schr\"odinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequences is obtained by a special technique, which borrows from the ideas of Soave (J. Funct. Anal. 279 (6) (2020) 1086102020). This paper represents an extension of previously known results - in the local and the nonlocal cases.
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